2018-05-17 14:01:02 +00:00
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#pragma once
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#include <vector>
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namespace cgv {
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namespace data {
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/** IndexHeap is a heap that allows changing of the elements */
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template <typename T>
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class dynamic_priority_queue
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{
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public:
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typedef T element_type;
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protected:
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/// store per element, whether it is empty and a link to the next empty element or to the heap location
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struct extended_element
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{
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element_type element;
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bool is_empty : 1;
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unsigned int link : 31;
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};
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/// container for elements
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std::vector<extended_element> elements;
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/// store index of last empty element or -1 if there is non
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int last_empty_element;
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/// store indices to the elements on the heap
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std::vector<unsigned int> heap;
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/// check if a position is outside of range
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bool valid(unsigned int hp) const { return hp < heap.size(); }
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/// make sure that the link for hp is ok
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void updateLink(unsigned int hp) { elements[heap[hp]].link = hp; }
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/// check if hp1 is less than hp2, if true, exchange elements
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bool isBetter(unsigned int hp1, unsigned int hp2) const {
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return elements[heap[hp1]].element<elements[heap[hp2]].element;
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}
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/// check if hp1 is less than hp2, if true, exchange elements
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bool exchangeIfBetter(unsigned int hp1, unsigned int hp2)
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{
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if (isBetter(hp1,hp2)) {
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std::swap(heap[hp1], heap[hp2]);
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updateLink(hp1);
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updateLink(hp2);
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return true;
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}
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return false;
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}
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///
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void heapify(unsigned int hp) { if (!positionUpward(hp)) positionDownward(hp); }
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/// move one element to another position, that should be empty
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void move(unsigned int hp1, unsigned int hp2)
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{
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heap[hp2] = heap[hp1];
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updateLink(hp2);
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}
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/// remove an element on a certain heap pos
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void removeHeap(unsigned int hp)
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{
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if (hp != heap.size()-1) {
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move((unsigned int)heap.size()-1,hp);
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heap.pop_back();
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heapify(hp);
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}
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else
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heap.pop_back();
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}
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/// move an element downward to the correct position
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void positionDownward(unsigned int& hp)
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{
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unsigned int child;
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while (valid(child = 2*hp+1)) {
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unsigned int tmp = child+1;
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if (valid(tmp) && isBetter(tmp,child)) child = tmp;
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if (!exchangeIfBetter(child, hp)) break;
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hp = child;
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}
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}
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/// move an element upward to the correct position
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bool positionUpward(unsigned int& hp)
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{
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bool changed = false;
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while (hp != 0) {
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unsigned int pa = (hp-1)/2;
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if (!exchangeIfBetter(hp, pa)) break;
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hp = pa;
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changed = true;
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}
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return changed;
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}
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public:
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/// empty construction
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dynamic_priority_queue() : last_empty_element(-1) {}
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/// remove all elements
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void clear() { elements.clear(); heap.clear(); last_empty_element = -1; }
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/// check if heap is empty
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bool empty() const { return heap.size() == 0; }
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/// return the number of elements in the heap
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size_t size() const { return heap.size(); }
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/// return the number of elements in the heap
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size_t size_of_element_container() const { return elements.size(); }
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/**@name queue interface */
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//@{
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/// return the top element
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unsigned int top() const { return heap[0]; }
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/// remove top element
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void pop() { remove(top()); }
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/// extract top element
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int extract()
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{
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unsigned int tmp = top();
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pop();
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return tmp;
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}
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//@}
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/**@name dynamic element access*/
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//@{
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///
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bool is_empty(unsigned int idx) const { return elements[idx].is_empty; }
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///
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const element_type& operator [] (unsigned int idx) const { return elements[idx].element; }
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element_type& operator [] (unsigned int idx) { return elements[idx].element; }
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/// insert the given element and return its index in the element container
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unsigned int insert(const element_type& e)
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{
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unsigned int idx;
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if (last_empty_element != -1) {
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idx = last_empty_element;
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if (elements[idx].link == idx)
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last_empty_element = -1;
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else
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last_empty_element = elements[idx].link;
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}
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else {
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idx = (unsigned int) elements.size();
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elements.resize(idx+1);
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}
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elements[idx].element = e;
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elements[idx].is_empty = false;
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unsigned int hp = (unsigned int) heap.size();
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heap.push_back(idx);
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updateLink(hp);
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positionUpward(hp);
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return idx;
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}
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/// update after a change to the predicate
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void update(unsigned int idx)
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{
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if (!is_empty(idx))
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heapify(elements[idx].link);
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}
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/// remove element at location idx
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void remove(unsigned int idx)
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{
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if (is_empty(idx))
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return;
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removeHeap(elements[idx].link);
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elements[idx].is_empty = true;
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if (last_empty_element == -1)
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elements[idx].link = idx;
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else
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elements[idx].link = last_empty_element;
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last_empty_element = idx;
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}
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};
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}
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2018-05-17 13:50:03 +00:00
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}
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